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142902000 = 24325317467
BaseRepresentation
bin10001000010010…
…00001011110000
3100221220011200200
420201020023300
5243040331000
622102515200
73353434623
oct1041101360
9327804620
10142902000
117373442a
123ba35b00
13237b51c7
1414d9bdba
15c82b500
hex88482f0

142902000 has 240 divisors, whose sum is σ = 529600032. Its totient is φ = 35788800.

The previous prime is 142901999. The next prime is 142902007. The reversal of 142902000 is 209241.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (142902007) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 305767 + ... + 306233.

Almost surely, 2142902000 is an apocalyptic number.

142902000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 142902000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (264800016).

142902000 is an abundant number, since it is smaller than the sum of its proper divisors (386698032).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

142902000 is a wasteful number, since it uses less digits than its factorization.

142902000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 513 (or 494 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The square root of 142902000 is about 11954.1624549778. The cubic root of 142902000 is about 522.8126681818.

It can be divided in two parts, 14290 and 2000, that added together give a triangular number (16290 = T180).

The spelling of 142902000 in words is "one hundred forty-two million, nine hundred two thousand".